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Finding the Fourth Proportional to 9,793.50, 14,692.77 and 4,245.55

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Solution

The fourth proportional to 9,793.50, 14,692.77 and 4,245.55 is: 6,369.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.50 : 14,692.77 = 4,245.55 : x
  2. Step 2: Convert to fraction form
    9,793.50/14,692.77 = 4,245.55/x
  3. Step 3: Cross multiply
    9,793.50x = 14,692.77 × 4,245.55
  4. Step 4: Simplify right side
    9,793.50x = 62,378,889.67
  5. Step 5: Solve for x
    x = 62,378,889.67/9,793.50
  6. Step 6: Final answer
    x = 6,369.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.